A. Determine whether the given statement is an example of null hypothesis or alternative hypothesis. 1. Activity: Complete the following task using the reference statement inside the box. 2. 3. 1. The mean starting salary of nurses in Metro Manila is P12,500 per month. 2. The mean number of cars a person owns in her lifetime is not more than ten. 4. B. Write the following statements in symbols. 1. 3. 2. 3. The average IQ of students in Pasig City is assumed to be 100. 4. The average laptop battery can last for more than 15 hours of active usage. C. Determine whether the given requires a directional or non-directional hypothesis. 1. 2. 3. 4.

Linear Algebra: A Modern Introduction
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Illustrative Example 1:
(Non-Directional Hypothesis)
Illustrative Example 2:
(Directional Alternative Hypothesis)
Illustrative Example 3:
(Directional Alternative Hypothesis)
Private universities' mean tuition cost is
The mean number of years Filipinos
work before retiring is 34.
more than P110,000 per year.
The average TV viewing time of all five-
year old children is less than 3 hours
daily.
Null Hypothesis:
H: The mean number of years Filipinos
work before retiring is 34.
H: μ= 34
Alternative Hypothesis:
H.: The mean number of years Filipinos
work before retiring is not 34.
H.i µ # 34
Null Hypothesis:
H,: The mean tuition for private
universities cost less than or equal to
P110,000 per year.
H: μ Pl 10,00
Alternative Hypothesis:
Hạ: The mean tuition for private
universities cost more than Pl10,000
Null Hypothesis:
H,: The average TV viewing time of all
five-year old children is greater
than or equal to 3 hours daily.
H: µ23
Alternative Hypothesis:
Hạ: The average TV viewing time
of all five-year old children is less
than 3 hours daily.
H: μ<3
per year.
Hạ: u > P110,000
Notes:
*We used the “u" since it's an average
measurement, otherwise we will be
using “p" as symbol for proportion.
*We used + for this given example since
the given does not require certain
direction.
Notes:
* We used the "" for the null hypothesis,
to negate the given statement which is
already the alternative hypothesis.
* Always pay attention to the given, often
it is in the form of null hypothesis, but it
can also be in altermative hypothesis form.
Transcribed Image Text:Illustrative Example 1: (Non-Directional Hypothesis) Illustrative Example 2: (Directional Alternative Hypothesis) Illustrative Example 3: (Directional Alternative Hypothesis) Private universities' mean tuition cost is The mean number of years Filipinos work before retiring is 34. more than P110,000 per year. The average TV viewing time of all five- year old children is less than 3 hours daily. Null Hypothesis: H: The mean number of years Filipinos work before retiring is 34. H: μ= 34 Alternative Hypothesis: H.: The mean number of years Filipinos work before retiring is not 34. H.i µ # 34 Null Hypothesis: H,: The mean tuition for private universities cost less than or equal to P110,000 per year. H: μ Pl 10,00 Alternative Hypothesis: Hạ: The mean tuition for private universities cost more than Pl10,000 Null Hypothesis: H,: The average TV viewing time of all five-year old children is greater than or equal to 3 hours daily. H: µ23 Alternative Hypothesis: Hạ: The average TV viewing time of all five-year old children is less than 3 hours daily. H: μ<3 per year. Hạ: u > P110,000 Notes: *We used the “u" since it's an average measurement, otherwise we will be using “p" as symbol for proportion. *We used + for this given example since the given does not require certain direction. Notes: * We used the "" for the null hypothesis, to negate the given statement which is already the alternative hypothesis. * Always pay attention to the given, often it is in the form of null hypothesis, but it can also be in altermative hypothesis form.
Activity:
A. Determine whether the given statement is an example
of null hypothesis or alternative hypothesis.
1.
Complete the following task using the reference
statement inside the box.
2.
3.
1. The mean starting salary of nurses in Metro Manila is
P12,500 per month.
2. The mean number of cars a person owns in her
lifetime is not more than ten.
4.
B. Write the following statements in symbols.
1.
3.
2.
4.
3. The average IQ of students in Pasig City is assumed
to be 100.
4. The average laptop battery can last for more than 15
hours of active usage.
C. Determine whether the given requires a directional or
non-directional hypothesis.
1.
2.
3.
4.
Transcribed Image Text:Activity: A. Determine whether the given statement is an example of null hypothesis or alternative hypothesis. 1. Complete the following task using the reference statement inside the box. 2. 3. 1. The mean starting salary of nurses in Metro Manila is P12,500 per month. 2. The mean number of cars a person owns in her lifetime is not more than ten. 4. B. Write the following statements in symbols. 1. 3. 2. 4. 3. The average IQ of students in Pasig City is assumed to be 100. 4. The average laptop battery can last for more than 15 hours of active usage. C. Determine whether the given requires a directional or non-directional hypothesis. 1. 2. 3. 4.
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